Hi Matt,
Personally, I have built a bunch of coils of various sizes and shapes and the fundamentals and approximate depth increases put forth by Eric Foster in his post appear to hold true within reason when checking both air and in ground tests. At least they do for the basic tests I have run. That is why I posted the information. I will agree that there are a wealth of variables that can influence the final result so there are no absolutes. I believe even Eric would agree and mentioned some of the factors in his response.
I don't believe Eric ever meant this information to be the gospel but I believe he felt the concept does give some form of a reference point of what one might expect and that is, what I believe was the fundamental basis of the answer to the the question that was asked.
Ironically, one other person who had a wealth of knowledge came to the same basic design answers as Eric Foster and that was Robert Hooko, another well known Electrical Enginner and contributor to this forum. Much of his work can also be found in the archives of this forum, as can that of Eric. Unfortunately, I read that Robert died some time back so he will not be responding with his explanation as to why he came to similar mathimatical conclusions.
Of course, most people who read this forum realize that Eric has retired and may not respond either.
There will always be absolutes that probably should be introduced for the purist that just may influence or vary from the graphs, but to try to include all of them would require developing a book that most likely couldn't be read properly by the average user. That is, why I feel Eric added the possible variables he did in his response.
You are certainly welcome to provide your own chart and other technical specifics contradicting Eric's work if you feel I am wrong in supporting Eric's findings, as I always am looking for technical information. But, as I mentioned, as a general rule, I have found Eric's graphs to be reasonably accurate and as such I feel they do provide some simple approximate basis upon which one can make an assumption, at least for those who use one or more of many if not most of the PI's used today.
One more item and that is, as I mentioned before, even Eric agreed that there were factors that could influence the final results, especially when searching for small nuggets and again, I have found somewhat greater errors on such items. However, for more constant objects such as coins, I found the general results to accurate enough I feel one could have some idea of whether a coil of different size might thelp. Again, I say might because even the ground conditions can play a part far more than people realize. Of course, the size, shape and characteristics of the object also can influence the results. So, people should keep such in mind also and realize they will have an influence on the overall accuracy of any possible tests.
Reg